Comments on "New hypergeometric identities arising from Gauss’s second summation theorem"

Medhat A. Rakha, Arjun K. Rathie, Purnima Chopra, Richard B. Paris

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    Abstract

    In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269–274] obtained a general transfor- mation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities not previously recorded in the literature were then deduced by application of Gauss’ second summation theorem and other known hypergeometric summa- tion theorems. However, many of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities.
    Original languageEnglish
    Pages (from-to)87-89
    Number of pages3
    JournalMiskolc Mathematical Notes
    Volume13
    Issue number1
    Publication statusPublished - 2012

    Keywords

    • Generalized hypergeometric series
    • Hypergeometric identities

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